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In hostel of 70 boys, there are provisions for 40 days. If 10 more boys join the hostel, how long will the provisions last?
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In hostel of 70 boys, there are provisions for 40 days. If 10 more boy...
Understanding the Situation
In a hostel with 70 boys, there are provisions that can last for 40 days. This indicates that the provisions are sufficient for a specific number of boys over a certain duration.
Calculating the Total Provisions
- Total provisions for 70 boys:
If provisions last for 40 days for 70 boys, we can calculate the total "boy-days" of provisions:
- Total boy-days = 70 boys * 40 days = 2800 boy-days.
Impact of Additional Boys
- New total of boys:
When 10 more boys join, the total number of boys becomes:
- New total = 70 boys + 10 boys = 80 boys.
Calculating New Duration of Provisions
- New duration with 80 boys:
To find out how long the provisions will last with 80 boys, we divide the total provisions by the new number of boys:
- Duration = Total boy-days / New total boys = 2800 boy-days / 80 boys.
- Performing the calculation:
- Duration = 35 days.
Conclusion
- The provisions will now last for 35 days with the addition of 10 more boys. This scenario illustrates how the increase in the number of boys reduces the duration for which provisions can sustain them.
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In hostel of 70 boys, there are provisions for 40 days. If 10 more boys join the hostel, how long will the provisions last?
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